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Simplify the expression. Write your answers using integers or improper fractions. -(2r-(1)/(4)r+3)-r Answer:

Simplify the expression. Write your answers using integers or improper fractions.\newline−(2r−14r+3)−r -\left(2 r-\frac{1}{4} r+3\right)-r \newlineAnswer:

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Q. Simplify the expression. Write your answers using integers or improper fractions.\newline−(2r−14r+3)−r -\left(2 r-\frac{1}{4} r+3\right)-r \newlineAnswer:
  1. Identify Terms and Operations: Identify the terms within the expression and the operations to be performed.\newlineWe have the expression −(2r−(14)r+3)−r -(2r - (\frac{1}{4})r + 3) - r , which involves subtraction and distribution of the negative sign.
  2. Distribute Negative Sign: Distribute the negative sign across the terms inside the parentheses.\newlineThis gives us: −2r+(14)r−3−r-2r + (\frac{1}{4})r - 3 - r.
  3. Combine Like Terms: Combine like terms, which are the terms involving rr.−2r+(14)r−r=−2r−r+(14)r=−3r+(14)r-2r + (\frac{1}{4})r - r = -2r - r + (\frac{1}{4})r = -3r + (\frac{1}{4})r.
  4. Convert to Common Denominator: To combine −3r-3r and (1/4)r(1/4)r, convert −3r-3r to have a common denominator with (1/4)r(1/4)r.\newline−3r-3r can be written as (−12/4)r(-12/4)r, so the expression becomes (−12/4)r+(1/4)r(-12/4)r + (1/4)r.
  5. Add RR Terms: Add the rr terms together.(−124)r+(14)r=(−12+1)/4⋅r=(−114)r.\left(-\frac{12}{4}\right)r + \left(\frac{1}{4}\right)r = \left(-12 + 1\right)/4 \cdot r = \left(-\frac{11}{4}\right)r.
  6. Subtract Constant Term: Subtract the constant term from the rr term.\newline(−114)r−3=(−114)r−(124)=(−114)r−(124)(-\frac{11}{4})r - 3 = (-\frac{11}{4})r - (\frac{12}{4}) = (-\frac{11}{4})r - (\frac{12}{4}).
  7. Combine Constant Terms: Combine the constant terms.\newline(−114r−124(-\frac{11}{4}r - \frac{12}{4} = −114r−3-\frac{11}{4}r - 3.\newlineSince there are no like terms with the constant, this is the final simplified expression.

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